7 papers
Arithmetical Structures on Ladder Graphs
Namita Behera, Dilli Ram Chhetri, Raj Bhawan Yadav
In this paper, we investigate arithmetical structures on Cartesian product graphs, particularly, ladder graph of the form P2\square Pm and grid graph of the form Pn \square Pm. An…
Structured Linearizations of Structured Rational Matrices
Avisek Bist, Namita Behera
Numerical computations involving rational matrices often benefit from preserving underlying matrix structures such as symmetry, Hermitian properties, or sparsity that reflect physi…
Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis
Avisek Bist, Namita Behera
Given a quadratic two-parameter matrix polynomial in Newton basis , we construct a vector space of linear two-parameter matrix polynomials and identify a set of line…
Arithmetical Structures On Fan Graphs
Dilli Ram Chhetri, Namita Behera, Raj Bhawan Yadav
In this paper, we study the arithmetical structures on Fan Graphs Fn. Let G be a finite and connected graph. An arithmetical structure on G is a pair (d, r) of positive integer vec…
Arithmetical Structures on Wheel Graphs
Bibhas Adhikari, Namita Behera, Dilli Ram Chhetri +1
An arithmetical structure on a finite and connected graph G is a pair (d, r) of positive integer vectors such that r is primitive (the gcd of its entries is 1) and (diag(d) - A)r =…
Vector Spaces of Linearizations for Multivariable State-Space Systems
Avisek Bist, Namita Behera
Consider a multivariable state space system and associated transfer function G(λ). The aim of this paper is to define and analyze two vector spaces of matrix pencils associated wi…